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Spline rectangular thick/thin plate elements. (Chinese. English summary) Zbl 0571.73079

Using the principle of the minimum potential energy and the spline local interpolation functions, this paper develops the biquadratic and bicubic spline thick/thin plate elements, which can be used to analyze both the thick (i.e. including transverse shearing deformations) and thin plates. Numerical examples show that both elements can give highly accurate results with a few degrees of freedom.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74K20 Plates